{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Riskfolio-Lib Tutorial: \n",
    "<br>__[Financionerioncios](https://financioneroncios.wordpress.com)__\n",
    "<br>__[Orenji](https://www.orenj-i.net)__\n",
    "<br>__[Riskfolio-Lib](https://riskfolio-lib.readthedocs.io/en/latest/)__\n",
    "<br>__[Dany Cajas](https://www.linkedin.com/in/dany-cajas/)__\n",
    "<a href='https://ko-fi.com/B0B833SXD' target='_blank'><img height='36' style='border:0px;height:36px;' src='https://cdn.ko-fi.com/cdn/kofi1.png?v=2' border='0' alt='Buy Me a Coffee at ko-fi.com' /></a> \n",
    "\n",
    "## Tutorial 14: Mean [Ulcer Index](https://en.wikipedia.org/wiki/Ulcer_index) Portfolio Optimization\n",
    "\n",
    "## 1. Downloading the data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[*********************100%***********************]  25 of 25 completed\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import yfinance as yf\n",
    "import warnings\n",
    "\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "\n",
    "yf.pdr_override()\n",
    "pd.options.display.float_format = '{:.4%}'.format\n",
    "\n",
    "# Date range\n",
    "start = '2016-01-01'\n",
    "end = '2019-12-30'\n",
    "\n",
    "# Tickers of assets\n",
    "assets = ['JCI', 'TGT', 'CMCSA', 'CPB', 'MO', 'APA', 'MMC', 'JPM',\n",
    "          'ZION', 'PSA', 'BAX', 'BMY', 'LUV', 'PCAR', 'TXT', 'TMO',\n",
    "          'DE', 'MSFT', 'HPQ', 'SEE', 'VZ', 'CNP', 'NI', 'T', 'BA']\n",
    "assets.sort()\n",
    "\n",
    "# Downloading data\n",
    "data = yf.download(assets, start = start, end = end)\n",
    "data = data.loc[:,('Adj Close', slice(None))]\n",
    "data.columns = assets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>APA</th>\n",
       "      <th>BA</th>\n",
       "      <th>BAX</th>\n",
       "      <th>BMY</th>\n",
       "      <th>CMCSA</th>\n",
       "      <th>CNP</th>\n",
       "      <th>CPB</th>\n",
       "      <th>DE</th>\n",
       "      <th>HPQ</th>\n",
       "      <th>JCI</th>\n",
       "      <th>...</th>\n",
       "      <th>NI</th>\n",
       "      <th>PCAR</th>\n",
       "      <th>PSA</th>\n",
       "      <th>SEE</th>\n",
       "      <th>T</th>\n",
       "      <th>TGT</th>\n",
       "      <th>TMO</th>\n",
       "      <th>TXT</th>\n",
       "      <th>VZ</th>\n",
       "      <th>ZION</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2016-01-05</th>\n",
       "      <td>-2.0257%</td>\n",
       "      <td>0.4057%</td>\n",
       "      <td>0.4035%</td>\n",
       "      <td>1.9693%</td>\n",
       "      <td>0.0180%</td>\n",
       "      <td>0.9305%</td>\n",
       "      <td>0.3678%</td>\n",
       "      <td>0.5783%</td>\n",
       "      <td>0.9483%</td>\n",
       "      <td>-1.1954%</td>\n",
       "      <td>...</td>\n",
       "      <td>1.5881%</td>\n",
       "      <td>0.0212%</td>\n",
       "      <td>2.8236%</td>\n",
       "      <td>0.9758%</td>\n",
       "      <td>0.6987%</td>\n",
       "      <td>1.7539%</td>\n",
       "      <td>-0.1730%</td>\n",
       "      <td>0.2410%</td>\n",
       "      <td>1.3734%</td>\n",
       "      <td>-1.0857%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-01-06</th>\n",
       "      <td>-11.4863%</td>\n",
       "      <td>-1.5879%</td>\n",
       "      <td>0.2412%</td>\n",
       "      <td>-1.7557%</td>\n",
       "      <td>-0.7727%</td>\n",
       "      <td>-1.2473%</td>\n",
       "      <td>-0.1736%</td>\n",
       "      <td>-1.1239%</td>\n",
       "      <td>-3.5867%</td>\n",
       "      <td>-0.9551%</td>\n",
       "      <td>...</td>\n",
       "      <td>0.5547%</td>\n",
       "      <td>0.0212%</td>\n",
       "      <td>0.1592%</td>\n",
       "      <td>-1.5646%</td>\n",
       "      <td>-0.1466%</td>\n",
       "      <td>-1.0155%</td>\n",
       "      <td>-0.7653%</td>\n",
       "      <td>-3.0048%</td>\n",
       "      <td>-0.9034%</td>\n",
       "      <td>-2.9145%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-01-07</th>\n",
       "      <td>-5.1389%</td>\n",
       "      <td>-4.1922%</td>\n",
       "      <td>-1.6573%</td>\n",
       "      <td>-2.7699%</td>\n",
       "      <td>-1.1047%</td>\n",
       "      <td>-1.9769%</td>\n",
       "      <td>-1.2207%</td>\n",
       "      <td>-0.8855%</td>\n",
       "      <td>-4.6059%</td>\n",
       "      <td>-2.5394%</td>\n",
       "      <td>...</td>\n",
       "      <td>-2.2066%</td>\n",
       "      <td>-3.0309%</td>\n",
       "      <td>-1.0410%</td>\n",
       "      <td>-3.1557%</td>\n",
       "      <td>-1.6148%</td>\n",
       "      <td>-0.2700%</td>\n",
       "      <td>-2.2845%</td>\n",
       "      <td>-2.0570%</td>\n",
       "      <td>-0.5492%</td>\n",
       "      <td>-3.0019%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-01-08</th>\n",
       "      <td>0.2737%</td>\n",
       "      <td>-2.2705%</td>\n",
       "      <td>-1.6037%</td>\n",
       "      <td>-2.5425%</td>\n",
       "      <td>0.1099%</td>\n",
       "      <td>-0.2241%</td>\n",
       "      <td>0.5707%</td>\n",
       "      <td>-1.6402%</td>\n",
       "      <td>-1.7641%</td>\n",
       "      <td>-0.1649%</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.1538%</td>\n",
       "      <td>-1.1366%</td>\n",
       "      <td>-0.7308%</td>\n",
       "      <td>-0.1448%</td>\n",
       "      <td>0.0895%</td>\n",
       "      <td>-3.3839%</td>\n",
       "      <td>-0.1117%</td>\n",
       "      <td>-1.1386%</td>\n",
       "      <td>-0.9719%</td>\n",
       "      <td>-1.1254%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-01-11</th>\n",
       "      <td>-4.3384%</td>\n",
       "      <td>0.1693%</td>\n",
       "      <td>-1.6851%</td>\n",
       "      <td>-1.0215%</td>\n",
       "      <td>0.0915%</td>\n",
       "      <td>-1.1791%</td>\n",
       "      <td>0.5674%</td>\n",
       "      <td>0.5287%</td>\n",
       "      <td>0.6616%</td>\n",
       "      <td>0.0330%</td>\n",
       "      <td>...</td>\n",
       "      <td>1.6435%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.9869%</td>\n",
       "      <td>-0.1450%</td>\n",
       "      <td>1.2224%</td>\n",
       "      <td>1.4570%</td>\n",
       "      <td>0.5367%</td>\n",
       "      <td>-0.4607%</td>\n",
       "      <td>0.5800%</td>\n",
       "      <td>-1.9918%</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 25 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                 APA       BA      BAX      BMY    CMCSA      CNP      CPB  \\\n",
       "Date                                                                         \n",
       "2016-01-05  -2.0257%  0.4057%  0.4035%  1.9693%  0.0180%  0.9305%  0.3678%   \n",
       "2016-01-06 -11.4863% -1.5879%  0.2412% -1.7557% -0.7727% -1.2473% -0.1736%   \n",
       "2016-01-07  -5.1389% -4.1922% -1.6573% -2.7699% -1.1047% -1.9769% -1.2207%   \n",
       "2016-01-08   0.2737% -2.2705% -1.6037% -2.5425%  0.1099% -0.2241%  0.5707%   \n",
       "2016-01-11  -4.3384%  0.1693% -1.6851% -1.0215%  0.0915% -1.1791%  0.5674%   \n",
       "\n",
       "                 DE      HPQ      JCI  ...       NI     PCAR      PSA  \\\n",
       "Date                                   ...                              \n",
       "2016-01-05  0.5783%  0.9483% -1.1954%  ...  1.5881%  0.0212%  2.8236%   \n",
       "2016-01-06 -1.1239% -3.5867% -0.9551%  ...  0.5547%  0.0212%  0.1592%   \n",
       "2016-01-07 -0.8855% -4.6059% -2.5394%  ... -2.2066% -3.0309% -1.0410%   \n",
       "2016-01-08 -1.6402% -1.7641% -0.1649%  ... -0.1538% -1.1366% -0.7308%   \n",
       "2016-01-11  0.5287%  0.6616%  0.0330%  ...  1.6435%  0.0000%  0.9869%   \n",
       "\n",
       "                SEE        T      TGT      TMO      TXT       VZ     ZION  \n",
       "Date                                                                       \n",
       "2016-01-05  0.9758%  0.6987%  1.7539% -0.1730%  0.2410%  1.3734% -1.0857%  \n",
       "2016-01-06 -1.5646% -0.1466% -1.0155% -0.7653% -3.0048% -0.9034% -2.9145%  \n",
       "2016-01-07 -3.1557% -1.6148% -0.2700% -2.2845% -2.0570% -0.5492% -3.0019%  \n",
       "2016-01-08 -0.1448%  0.0895% -3.3839% -0.1117% -1.1386% -0.9719% -1.1254%  \n",
       "2016-01-11 -0.1450%  1.2224%  1.4570%  0.5367% -0.4607%  0.5800% -1.9918%  \n",
       "\n",
       "[5 rows x 25 columns]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Calculating returns\n",
    "\n",
    "Y = data[assets].pct_change().dropna()\n",
    "\n",
    "display(Y.head())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. Estimating Mean Ulcer Index Portfolios\n",
    "\n",
    "### 2.1 Calculating the portfolio that maximizes Ulcer Performance Index (UPI) ratio."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
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       "\n",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>APA</th>\n",
       "      <th>BA</th>\n",
       "      <th>BAX</th>\n",
       "      <th>BMY</th>\n",
       "      <th>CMCSA</th>\n",
       "      <th>CNP</th>\n",
       "      <th>CPB</th>\n",
       "      <th>DE</th>\n",
       "      <th>HPQ</th>\n",
       "      <th>JCI</th>\n",
       "      <th>...</th>\n",
       "      <th>NI</th>\n",
       "      <th>PCAR</th>\n",
       "      <th>PSA</th>\n",
       "      <th>SEE</th>\n",
       "      <th>T</th>\n",
       "      <th>TGT</th>\n",
       "      <th>TMO</th>\n",
       "      <th>TXT</th>\n",
       "      <th>VZ</th>\n",
       "      <th>ZION</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>weights</th>\n",
       "      <td>0.0000%</td>\n",
       "      <td>6.3435%</td>\n",
       "      <td>4.3358%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>18.1621%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>1.0071%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>...</td>\n",
       "      <td>3.8883%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.4940%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>8.3242%</td>\n",
       "      <td>0.0000%</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1 rows × 25 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "            APA      BA     BAX     BMY   CMCSA      CNP     CPB      DE  \\\n",
       "weights 0.0000% 6.3435% 4.3358% 0.0000% 0.0000% 18.1621% 0.0000% 1.0071%   \n",
       "\n",
       "            HPQ     JCI  ...      NI    PCAR     PSA     SEE       T     TGT  \\\n",
       "weights 0.0000% 0.0000%  ... 3.8883% 0.0000% 0.0000% 0.0000% 0.0000% 0.4940%   \n",
       "\n",
       "            TMO     TXT      VZ    ZION  \n",
       "weights 0.0000% 0.0000% 8.3242% 0.0000%  \n",
       "\n",
       "[1 rows x 25 columns]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import riskfolio.Portfolio as pf\n",
    "\n",
    "# Building the portfolio object\n",
    "port = pf.Portfolio(returns=Y)\n",
    "# Calculating optimum portfolio\n",
    "\n",
    "# Select method and estimate input parameters:\n",
    "\n",
    "method_mu='hist' # Method to estimate expected returns based on historical data.\n",
    "method_cov='hist' # Method to estimate covariance matrix based on historical data.\n",
    "\n",
    "port.assets_stats(method_mu=method_mu, method_cov=method_cov, d=0.94)\n",
    "\n",
    "# Estimate optimal portfolio:\n",
    "\n",
    "model='Classic' # Could be Classic (historical), BL (Black Litterman) or FM (Factor Model)\n",
    "rm = 'UCI' # Risk measure used, this time will be variance\n",
    "obj = 'Sharpe' # Objective function, could be MinRisk, MaxRet, Utility or Sharpe\n",
    "hist = True # Use historical scenarios for risk measures that depend on scenarios\n",
    "rf = 0 # Risk free rate\n",
    "l = 0 # Risk aversion factor, only useful when obj is 'Utility'\n",
    "\n",
    "w = port.optimization(model=model, rm=rm, obj=obj, rf=rf, l=l, hist=hist)\n",
    "\n",
    "display(w.T)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.2 Plotting portfolio composition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import riskfolio.PlotFunctions as plf\n",
    "\n",
    "# Plotting the composition of the portfolio\n",
    "\n",
    "ax = plf.plot_pie(w=w, title='Sharpe Mean Ulcer Index', others=0.05, nrow=25, cmap = \"tab20\",\n",
    "                  height=6, width=10, ax=None)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.3 Calculate efficient frontier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>APA</th>\n",
       "      <th>BA</th>\n",
       "      <th>BAX</th>\n",
       "      <th>BMY</th>\n",
       "      <th>CMCSA</th>\n",
       "      <th>CNP</th>\n",
       "      <th>CPB</th>\n",
       "      <th>DE</th>\n",
       "      <th>HPQ</th>\n",
       "      <th>JCI</th>\n",
       "      <th>...</th>\n",
       "      <th>NI</th>\n",
       "      <th>PCAR</th>\n",
       "      <th>PSA</th>\n",
       "      <th>SEE</th>\n",
       "      <th>T</th>\n",
       "      <th>TGT</th>\n",
       "      <th>TMO</th>\n",
       "      <th>TXT</th>\n",
       "      <th>VZ</th>\n",
       "      <th>ZION</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.0000%</td>\n",
       "      <td>4.7636%</td>\n",
       "      <td>2.9930%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>16.5235%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>...</td>\n",
       "      <td>2.1930%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>8.7864%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>6.1278%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>11.1558%</td>\n",
       "      <td>6.6982%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.0000%</td>\n",
       "      <td>7.6877%</td>\n",
       "      <td>3.6061%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>17.4801%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.3305%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>...</td>\n",
       "      <td>3.4334%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>2.9910%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>3.6821%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>8.5434%</td>\n",
       "      <td>0.0000%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.0000%</td>\n",
       "      <td>7.5818%</td>\n",
       "      <td>4.5103%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>19.5677%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.3899%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>...</td>\n",
       "      <td>4.1406%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.5147%</td>\n",
       "      <td>0.1703%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>8.1134%</td>\n",
       "      <td>0.0000%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.0000%</td>\n",
       "      <td>5.5309%</td>\n",
       "      <td>3.9478%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>18.3955%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.6867%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>...</td>\n",
       "      <td>3.7772%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.6800%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>8.3883%</td>\n",
       "      <td>0.0000%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.0000%</td>\n",
       "      <td>5.1547%</td>\n",
       "      <td>3.4338%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>17.7482%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.4374%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>...</td>\n",
       "      <td>3.7649%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>6.8597%</td>\n",
       "      <td>0.0000%</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 25 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "      APA      BA     BAX     BMY   CMCSA      CNP     CPB      DE     HPQ  \\\n",
       "0 0.0000% 4.7636% 2.9930% 0.0000% 0.0000% 16.5235% 0.0000% 0.0000% 0.0000%   \n",
       "1 0.0000% 7.6877% 3.6061% 0.0000% 0.0000% 17.4801% 0.0000% 0.3305% 0.0000%   \n",
       "2 0.0000% 7.5818% 4.5103% 0.0000% 0.0000% 19.5677% 0.0000% 0.3899% 0.0000%   \n",
       "3 0.0000% 5.5309% 3.9478% 0.0000% 0.0000% 18.3955% 0.0000% 0.6867% 0.0000%   \n",
       "4 0.0000% 5.1547% 3.4338% 0.0000% 0.0000% 17.7482% 0.0000% 0.4374% 0.0000%   \n",
       "\n",
       "      JCI  ...      NI    PCAR     PSA     SEE       T     TGT     TMO  \\\n",
       "0 0.0000%  ... 2.1930% 0.0000% 8.7864% 0.0000% 6.1278% 0.0000% 0.0000%   \n",
       "1 0.0000%  ... 3.4334% 0.0000% 2.9910% 0.0000% 3.6821% 0.0000% 0.0000%   \n",
       "2 0.0000%  ... 4.1406% 0.0000% 0.0000% 0.0000% 0.5147% 0.1703% 0.0000%   \n",
       "3 0.0000%  ... 3.7772% 0.0000% 0.0000% 0.0000% 0.0000% 0.6800% 0.0000%   \n",
       "4 0.0000%  ... 3.7649% 0.0000% 0.0000% 0.0000% 0.0000% 0.0000% 0.0000%   \n",
       "\n",
       "      TXT       VZ    ZION  \n",
       "0 0.0000% 11.1558% 6.6982%  \n",
       "1 0.0000%  8.5434% 0.0000%  \n",
       "2 0.0000%  8.1134% 0.0000%  \n",
       "3 0.0000%  8.3883% 0.0000%  \n",
       "4 0.0000%  6.8597% 0.0000%  \n",
       "\n",
       "[5 rows x 25 columns]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "points = 40 # Number of points of the frontier\n",
    "\n",
    "frontier = port.efficient_frontier(model=model, rm=rm, points=points, rf=rf, hist=hist)\n",
    "\n",
    "display(frontier.T.head())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plotting the efficient frontier\n",
    "\n",
    "label = 'Max Risk Adjusted Return Portfolio' # Title of point\n",
    "mu = port.mu # Expected returns\n",
    "cov = port.cov # Covariance matrix\n",
    "returns = port.returns # Returns of the assets\n",
    "\n",
    "ax = plf.plot_frontier(w_frontier=frontier, mu=mu, cov=cov, returns=returns, rm=rm,\n",
    "                       rf=rf, alpha=0.05, cmap='viridis', w=w, label=label,\n",
    "                       marker='*', s=16, c='r', height=6, width=10, ax=None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plotting efficient frontier composition\n",
    "\n",
    "ax = plf.plot_frontier_area(w_frontier=frontier, cmap=\"tab20\", height=6, width=10, ax=None)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. Estimating Risk Parity Portfolios for Ulcer Index\n",
    "\n",
    "### 3.1 Calculating the risk parity portfolio for Ulcer Index."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>APA</th>\n",
       "      <th>BA</th>\n",
       "      <th>BAX</th>\n",
       "      <th>BMY</th>\n",
       "      <th>CMCSA</th>\n",
       "      <th>CNP</th>\n",
       "      <th>CPB</th>\n",
       "      <th>DE</th>\n",
       "      <th>HPQ</th>\n",
       "      <th>JCI</th>\n",
       "      <th>...</th>\n",
       "      <th>NI</th>\n",
       "      <th>PCAR</th>\n",
       "      <th>PSA</th>\n",
       "      <th>SEE</th>\n",
       "      <th>T</th>\n",
       "      <th>TGT</th>\n",
       "      <th>TMO</th>\n",
       "      <th>TXT</th>\n",
       "      <th>VZ</th>\n",
       "      <th>ZION</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>weights</th>\n",
       "      <td>0.0000%</td>\n",
       "      <td>6.3435%</td>\n",
       "      <td>4.3358%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>18.1621%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>1.0071%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>...</td>\n",
       "      <td>3.8883%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.4940%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>8.3242%</td>\n",
       "      <td>0.0000%</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1 rows × 25 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "            APA      BA     BAX     BMY   CMCSA      CNP     CPB      DE  \\\n",
       "weights 0.0000% 6.3435% 4.3358% 0.0000% 0.0000% 18.1621% 0.0000% 1.0071%   \n",
       "\n",
       "            HPQ     JCI  ...      NI    PCAR     PSA     SEE       T     TGT  \\\n",
       "weights 0.0000% 0.0000%  ... 3.8883% 0.0000% 0.0000% 0.0000% 0.0000% 0.4940%   \n",
       "\n",
       "            TMO     TXT      VZ    ZION  \n",
       "weights 0.0000% 0.0000% 8.3242% 0.0000%  \n",
       "\n",
       "[1 rows x 25 columns]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "b = None # Risk contribution constraints vector\n",
    "\n",
    "w_rp = port.rp_optimization(model=model, rm=rm, rf=rf, b=b, hist=hist)\n",
    "\n",
    "display(w.T)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.2 Plotting portfolio composition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plf.plot_pie(w=w_rp, title='Risk Parity Ulcer Index', others=0.05, nrow=25, cmap = \"tab20\",\n",
    "                  height=6, width=10, ax=None)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.3 Plotting Risk Composition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plf.plot_risk_con(w_rp, cov=port.cov, returns=port.returns, rm=rm, rf=0, alpha=0.01,\n",
    "                       color=\"tab:blue\", height=6, width=10, ax=None)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
